Erratum for “Resonance of Free-Surface Waves Provoked by Floodgate Maneuvers” by Ali Triki

The differences in investigation between this paper and Triki and Hadj-Taïeb (2012) are distinct in both computation and discussed test cases. The models used to predict the free-surface wave behavior in the two papers are (1) the Saint-Venant model (SVM) in Triki and Hadj-Taïeb (2012), and (2) a model on the basis of the Boussinesq assumption (BM) in this paper.

The use of the BM aimed to fairly predict the flow evolution on the basis of a more realistic assumption, inasmuch as to overcome the well-known limitation of the SVM in predicting fast transient events. The difference between the two figures corresponding to the resonance of free-surface wave section of both papers are the corrected Fig. 3 provided in this erratum, and Fig. 4 of Triki and Hadj-Taïeb (2012). For instance, it is clear that the depth curves plotted in Fig. 3 of this paper exceed 10 m, whereas the corresponding depths illustrated in Fig. 4 of Triki and Hadj-Taïeb (2012) are approximately 9 m.

Moreover, the battement pattern of free-surface waves presented in Fig. 6, predicted according to the BM, has been observed for a sine pulsation value equal to 1.2 times the fundamental pulsation (${\omega }_{\mathrm{batt.}}=1.2{\omega }_{\mathrm{res}}$), unlike the corresponding result, computed according to the SVM and illustrated in Fig. 6 of Triki and Hadj-Taïeb (2012), in which the battement phenomenon of wave pattern appeared for the sine pulsation value equal to be 3 times the fundamental one (${\omega }_{\mathrm{batt.}}=3{\omega }_{\mathrm{res}}$). This observation difference, issued from the two models, implies that the results on the basis of the BM meet well the physical concepts of the resonance phenomenon, unlike the corresponding results on the basis of the SVM, which shows a slight shift of sine pulsation value from the fundamental pulsation value when wave battlement behavior occurs. This proves the limitation of the SVM, illustrated previously, and consequently justifies that the BM deserves to be implemented to predict such fast transient events.

In addition to the test cases discussed in both papers, an additional scenario was addressed separately in the “Analysis of Superposition of the Two Maneuvers” section of this paper. This scenario was investigated further to highlight the relevance of multiple floodgate maneuvers to free-surface wave behavior.

Considering these comparisons, it is shown that the subsequent paper (Triki 2014) had significantly contributed to the earlier paper (Triki and Hadj-Taïeb 2012) on free-surface wave resonance from both computation and extreme event illustrations.